Home
Class 10
MATHS
P and Q are points on the sides AB and A...

P and Q are points on the sides AB and AC respectively of a `triangleABC`. If AP= 2cm, PB = 4cm AQ= 3cm and QC= 6cm. Show that BC= 3PQ.

Text Solution

Verified by Experts

The correct Answer is:
`=3PQ` .
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Subjective Problems) (Long Answer Type)|7 Videos
  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Integer Numerical Value Type)|10 Videos
  • TRIANGLES

    MTG IIT JEE FOUNDATION|Exercise Exercise (Subjective Problems) (Very Short Answer Type)|10 Videos
  • SURFACE AREAS AND VOLUMES

    MTG IIT JEE FOUNDATION|Exercise OLYMPIAD/HOTS CORNER|20 Videos

Similar Questions

Explore conceptually related problems

P and Q are points on sides AB and AC respectively of DeltaABC . If AP = 3 cm , PB = 6 cm , AQ = 5 cm and QC = 10 , show that BC =3PQ .

If P and Q are points on the sides AB and AC respeactively of triangleABC , if PQ||BC,l AP= 2 cm , AB = 6 cm and AC= 9 cm find AQ.

Knowledge Check

  • In DeltaABC D and E are the points on sides AB and AC, respectively, such that DE || BC. If AD = 4 cm, BC = 5 cm. DC = 10 cm and AB = 15 cm. then the sum of the lengths of DE and EC is:

    A
    A. 20 cm
    B
    B. 15 cm
    C
    C. 21 cm
    D
    D. 18 cm
  • Similar Questions

    Explore conceptually related problems

    In ABC,P and Q are points on sides AB and AC respectively such that PQBC. If AP=3cm,PB=5cm and AC=8cm find AQ.

    If D and E are points on the sides AB and AC respectively of DetlaABC such that AB=5.6 cm, AD=1.4 cm, AC=7.2 cm and AE=1.8cm . Show that DE||BC .

    D and E are the points on the sides AB and AC respectively of a ABC such that: AD=8cm,quad DB=12cm,quad AE=6cm and CE=9cm. Prove that BC=5/2DE

    In DeltaABC,D and E are points on the sides AB and AC respectively ,such that DE||BC. If AD=2.5cm,BD=3cm and AE =3.75 cm , then the value of AC.

    if D and E are points on the sides AB and AC of a DeltaABC . Such that AB=12 cm, AD=8 cm, AE=12 cm, AC= 18 cm. show that DE||BC.

    D and E are points on the sides AB and AC respectively of a triangle ABC such that DE||BC (i) If AD=3.6cm , AB=10cm and AE=4.5cm, find EC and AC . (ii) If AB=13.3cm , AC=11.9cm and EC=5.1cm, " find AD (iii) If (AD)/(DB)=(4)/(7) and AC=6.6cm find AE (iv) If (AD)/(AB)=(8)/(15) and EC=3.5cm find AE

    In a triangle ABC, P and Q are points on AB and AC, respectively, such that AP=1 cm, PB=3 cm, AQ=1.5 cm, and CQ=4.5 cm. If the area of triangle APQ is 12 cm^2 , then find the area of BPQC